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Finding the Third Proportional to 144,126 and 231,574.50

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Solution

The third proportional to 144,126 and 231,574.50 is: 372,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,126 : 231,574.50 = 231,574.50 : x
  2. Step 2: Convert to fraction form
    144,126/231,574.50 = 231,574.50/x
  3. Step 3: Cross multiply
    144,126x = 231,574.50 × 231,574.50
  4. Step 4: Simplify right side
    144,126x = 53,626,749,050.25
  5. Step 5: Solve for x
    x = 53,626,749,050.25/144,126
  6. Step 6: Final answer
    x = 372,082.41

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.